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Finding the Fourth Proportional to 157,226.96, 217,103.82 and 145,830.32

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Solution

The fourth proportional to 157,226.96, 217,103.82 and 145,830.32 is: 201,366.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,226.96 : 217,103.82 = 145,830.32 : x
  2. Step 2: Convert to fraction form
    157,226.96/217,103.82 = 145,830.32/x
  3. Step 3: Cross multiply
    157,226.96x = 217,103.82 × 145,830.32
  4. Step 4: Simplify right side
    157,226.96x = 31,660,319,543.82
  5. Step 5: Solve for x
    x = 31,660,319,543.82/157,226.96
  6. Step 6: Final answer
    x = 201,366.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.